Uniform Distribution and Fractal Dimensions for Generalized Cantor Products
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| Authors: | Jun Wu |
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| Institution: | (1) Wuhan University, Hubei, P.R. China, CN |
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| Abstract: | For any and , let be a generalized Cantor product. The Hausdorff dimension of certain sets concerning are considered. Let be defined as in 11], the exceptional set of values of x for which is not uniformly distributed modulo 1 is also determined.
(Received 22 May 2001; in revised form 7 September 2001) |
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| Keywords: | 2000 Mathematics Subject Classification: 11K55 58F03 28A80 |
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